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Lie Groups and Lie Algebras: E. B. Dynkin’s Seminar
 
Edited by: S. G. Gindikin Rutgers University, New Brunswick, NJ
E. B. Vinberg Moscow State University, Moscow, Russia
Lie Groups and Lie Algebras: E. B. Dynkin's Seminar
Hardcover ISBN:  978-0-8218-0454-4
Product Code:  TRANS2/169
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3380-2
Product Code:  TRANS2/169.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0454-4
eBook: ISBN:  978-1-4704-3380-2
Product Code:  TRANS2/169.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Lie Groups and Lie Algebras: E. B. Dynkin's Seminar
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Lie Groups and Lie Algebras: E. B. Dynkin’s Seminar
Edited by: S. G. Gindikin Rutgers University, New Brunswick, NJ
E. B. Vinberg Moscow State University, Moscow, Russia
Hardcover ISBN:  978-0-8218-0454-4
Product Code:  TRANS2/169
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3380-2
Product Code:  TRANS2/169.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0454-4
eBook ISBN:  978-1-4704-3380-2
Product Code:  TRANS2/169.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1691995; 202 pp
    MSC: Primary 22; 57; Secondary 14; 15; 17; 42; 44; 53; 58;

    In celebration of E. B. Dynkin's 70th birthday, this book presents current papers by those who participated in Dynkin's seminar on Lie groups and Lie algebras in the late 1950s and early 1960s. Dynkin had a major influence not only on mathematics, but also on the students who attended his seminar—many of whom are today's leading mathematicians in Russia and in the U. S.

    Dynkin's contributions to the theory of Lie groups is well known, and the survey paper by Karpelevich, Onishchik, and Vinberg allows readers to gain a deeper understanding of this work.

    Features several aspects of modern developments in Lie groups and Lie algebras, including ...

    • theory of invariants
    • superalgebras
    • arithmetic applications
    • connections with mathematical physics

    Providing insight on the extraordinary mathematical traditions that grew out of this important seminar, Lie Groups and Lie Algebras is a fitting celebration of Dynkin's achievements.

    Readership

    Researchers, graduate students, and physicists interested in Lie groups, Lie algebras, and related areas.

  • Table of Contents
     
     
    • Chapters
    • F. I. Karpelevich, A. L. Onishchik and E. B. Vinberg — On the work of E. B. Dynkin in the theory of Lie groups
    • Dmitry Fuchs and Albert Schwarz — Matrix Vieta theorem
    • Simon Gindikin — Integral geometry on real quadrics
    • S. M. Gusein-Zade — Dynkin diagrams in singularity theory
    • A. A. Kirillov — Variations on the triangular theme
    • A. L. Onishchik and A. A. Serov — Vector fields and deformations of isotropic super-Grassmannians of maximal type
    • Michael Penkava and Albert Schwarz — $A_\infty $ algebras and the cohomology of moduli spaces
    • I. Piatetski-Shapiro and Ravi Raghunathan — On Hamburger’s theorem
    • Vladimir L. Popov — An analogue of M. Artin’s conjecture on invariants for nonassociative algebras
    • E. B. Vinberg — On reductive algebraic semigroups
    • D. P. Zhelobenko — Crystal bases and the problem of reduction in classical and quantum modules
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 1691995; 202 pp
MSC: Primary 22; 57; Secondary 14; 15; 17; 42; 44; 53; 58;

In celebration of E. B. Dynkin's 70th birthday, this book presents current papers by those who participated in Dynkin's seminar on Lie groups and Lie algebras in the late 1950s and early 1960s. Dynkin had a major influence not only on mathematics, but also on the students who attended his seminar—many of whom are today's leading mathematicians in Russia and in the U. S.

Dynkin's contributions to the theory of Lie groups is well known, and the survey paper by Karpelevich, Onishchik, and Vinberg allows readers to gain a deeper understanding of this work.

Features several aspects of modern developments in Lie groups and Lie algebras, including ...

  • theory of invariants
  • superalgebras
  • arithmetic applications
  • connections with mathematical physics

Providing insight on the extraordinary mathematical traditions that grew out of this important seminar, Lie Groups and Lie Algebras is a fitting celebration of Dynkin's achievements.

Readership

Researchers, graduate students, and physicists interested in Lie groups, Lie algebras, and related areas.

  • Chapters
  • F. I. Karpelevich, A. L. Onishchik and E. B. Vinberg — On the work of E. B. Dynkin in the theory of Lie groups
  • Dmitry Fuchs and Albert Schwarz — Matrix Vieta theorem
  • Simon Gindikin — Integral geometry on real quadrics
  • S. M. Gusein-Zade — Dynkin diagrams in singularity theory
  • A. A. Kirillov — Variations on the triangular theme
  • A. L. Onishchik and A. A. Serov — Vector fields and deformations of isotropic super-Grassmannians of maximal type
  • Michael Penkava and Albert Schwarz — $A_\infty $ algebras and the cohomology of moduli spaces
  • I. Piatetski-Shapiro and Ravi Raghunathan — On Hamburger’s theorem
  • Vladimir L. Popov — An analogue of M. Artin’s conjecture on invariants for nonassociative algebras
  • E. B. Vinberg — On reductive algebraic semigroups
  • D. P. Zhelobenko — Crystal bases and the problem of reduction in classical and quantum modules
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.